• Title/Summary/Keyword: Best linear unbiased predictor

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A GENERALIZED MODEL-BASED OPTIMAL SAMPLE SELECTION METHOD

  • Hong, Ki-Hak;Lee, Gi-Sung;Son, Chang-Kyoon
    • Journal of applied mathematics & informatics
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    • v.9 no.2
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    • pp.807-815
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    • 2002
  • We consider a more general linear regression super-population model than the one of Chaudhuri and Stronger(1992) . We can find the same type of the best linear unbiased(BLU) predictor as that of Chaudhuri and Stenger and see that the optimal design is again a purposive one which prescribes choosing one of the samples of size n which has $\chi$ closest to $\bar{X}$.

Analysis of Linear Regression Model with Two Way Correlated Errors

  • Ssong, Seuck-Heun
    • Journal of the Korean Statistical Society
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    • v.29 no.2
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    • pp.231-245
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    • 2000
  • This paper considers a linear regression model with space and time data in where the disturbances follow spatially correlated error components. We provide the best linear unbiased predictor for the one way error components. We provide the best linear unbiased predictor for the one way error component model with spatial autocorrelation. Further, we derive two diagnostic test statistics for the assessment of model specification due to spatial dependence and random effects as an application of the Lagrange Multiplier principle.

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Estimation of Small Area Proportions Based on Logistic Mixed Model

  • Jeong, Kwang-Mo;Son, Jung-Hyun
    • The Korean Journal of Applied Statistics
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    • v.22 no.1
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    • pp.153-161
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    • 2009
  • We consider a logistic model with random effects as the superpopulation for estimating the small area pro-portions. The best linear unbiased predictor under linear mired model is popular in small area estimation. We use this type of estimator under logistic mixed motel for the small area proportions, on which the estimation of mean squared error is also discussed. Two kinds of estimation methods, the parametric bootstrap and the linear approximation will be compared through a Monte Carlo study in the respects of the normality assumption on the random effects distribution and also the magnitude of sample sizes on the approximation.

An Estimation of The Unknown Theory Constants Using A Simulation Predictor

  • 박정수
    • Journal of the Korea Society for Simulation
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    • v.2 no.1
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    • pp.125-133
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    • 1993
  • A statistical method is described for estimation of the unknown constants in a theory using both of the computer simulation data and the real experimental data, The best linear unbiased predictor based on a spatial linear model is fitted from the computer simulation data alone. Then nonlinear least squares estimation method is applied to the real experimental data using the fitted prediction model as if it were the true simulation model. An application to the computational nuclear fusion devices is presented, where the nonlinear least squares estimates of four transport coefficients of the theoretical nuclear fusion model are obtained.

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A Statistical Estimation of The Universal Constants Using A Simulation Predictor

  • Park, Jeong-Soo-
    • Proceedings of the Korea Society for Simulation Conference
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    • 1992.10a
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    • pp.6-6
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    • 1992
  • This work deals with nonlinear least squares method for estimating unknown universial constants C in a computer simulation code real experimental data(or database) and computer simulation data. The best linear unbiased predictor based on a spatial statistical model is fitted from the computer simulation data. Then nonlinear least squares estimation method is applied to the real data using the fitted prediction model(or simulation predictor) as if it were the true simulation model. An application to the computational nuclear fusion device is presented.

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Hierachical Bayes Estimation of Small Area Means in Repeated Survey (반복조사에서 소지역자료 베이지안 분석)

  • 김달호;김남희
    • The Korean Journal of Applied Statistics
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    • v.15 no.1
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    • pp.119-128
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    • 2002
  • In this paper, we consider the HB estimators of small area means with repeated survey. mao and Yu(1994) considered small area model with repeated survey data and proposed empirical best linear unbiased estimators. We propose a hierachical Bayes version of Rao and Yu by assigning prior distributions for unknown hyperparameters. We illustrate our HB estimator using very popular data in small area problem and then compare the results with the estimator of Census Bureau and other estimators previously proposed.

A Study on the Construction of Weights for Combined Rolling Samples (순환표본의 결합을 위한 가중치 산출에 대한 연구)

  • Song, Jong-Ho;Park, Jin-Woo;Byun, Jong-Seok;Park, Min-Gue
    • Survey Research
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    • v.11 no.1
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    • pp.19-41
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    • 2010
  • Although it is possible to provide statistically reliable estimators of the entire population parameters based on each independent rolling sample, estimators of the small areas may not have the required statistical efficiency. Thus, in general, small area estimators are calculated based on the combined rolling sample after entire rolling sample survey is finished. In this study, we considered the construction of weights that is necessary in the analysis of the combined rolling sample. Unlike the past studies that provided the empirical results for the corresponding specific rolling sample survey, we considered linear models that depends only on design variables and rolling period and provided the corresponding Best Linear Unbiased Predictor(BLUP). Through a simulation study, we proposed the estimators for the population parameters that are robust to model failure and the BLUP under the assumed model. The results are applied to the 4th Korea National Health and Nutrition Examination Survey.

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카나다의 돼지유전능력 평가

  • 현재용
    • 종축개량
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    • v.17 no.2
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    • pp.57-60
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    • 1995
  • 카나다의 돼지개량에 대한 국가적 유전능력 평가는 산육능력(100kg의 등지방과 일령)과 모돈의 번식능력(총산자수)을 BLUP animal model(최선형 불변예상치 가축모형 : Best Linear Unbiased Predictor Animal Model)을 이용하여 정규적으로 평가하고 있다. 새로운 검정자료가 수집되어 질때마다 매번 BLUP평가가 이루어져 농장으로 제공된다. 현재의 유전능력 변화에 대한 추정가는 연간 등지방 두께 0.35mm와 100kg도달일령 1.5일이 향상되었다. 이것은 1985년 BLUP이 소개된 이전보다 등지방 $50\%$, 일령 20배 이상의 개량효과이다. 그 외에 모돈의 번식형질에 대한 개량은 계속적으로 연구가 진행되고 있으며 국가적 육종계획에는 도체와 육질에 대한 유전적 개량사업이 추진되고 있다.

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Animal Breeding: What Does the Future Hold?

  • Eisen, E.J.
    • Asian-Australasian Journal of Animal Sciences
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    • v.20 no.3
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    • pp.453-460
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    • 2007
  • An overview of developments important in the future of animal breeding is discussed. Examples from the application of quantitative genetic principles to selection in chickens and mice are given. Lessons to be learned from these species are that selection for production traits in livestock must also consider selection for reproduction and other fitness-related traits and inbreeding should be minimized. Short-term selection benefits of best linear unbiased predictor methodology must be weighed against long-term risks of increased rate of inbreeding. Different options have been developed to minimize inbreeding rates while maximizing selection response. Development of molecular genetic methods to search for quantitative trait loci provides the opportunity for incorporating marker-assisted selection and introgression as new tools for increasing efficiency of genetic improvement. Theoretical and computer simulation studies indicate that these methods hold great promise once genotyping costs are reduced to make the technology economically feasible. Cloning and transgenesis are not likely to contribute significantly to genetic improvement of livestock production in the near future.

An Improved Composite Estimator for Cut-off Sampling

  • Hwang, Hee-Jin;Shin, Key-Il
    • Communications for Statistical Applications and Methods
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    • v.20 no.5
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    • pp.367-376
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    • 2013
  • Cut-off sampling is widely used for a highly skewed population like a business survey by discarding a part of the population (the take-nothing stratum). In this paper, we suggest a new composite estimator of the take-nothing stratum total obtained by use of the survey results of the take-nothing stratum and a take-some sub-stratum (a part of take-some stratum) for a more accurate estimate of the population total. Small simulation studies are conducted to compare the performances of known estimators and the new composite estimator suggested in this study. In addition, we use briquette consumption survey data for real data analysis.